863 karma · joined May 31, 2017
IMHO, The primary thing wealth gives you is the time and resources to understand society in great depth. I just wish more wealthy people took that opportunity, but Gates is one of the leaders here.
The parent still has hor/ver mirror symmetries, and the solution rotated is also a solution. So there is a set of (in this case two) parents that is invariant under the same symmetries.
In general, a parent should still be a parent when any of the targets symmetries are applied. (But it wouldn't necessarily be the same parent).
This can be captured in a SAT by insisting that any symmetry of a solution is also a solution, which adds a lot of new constraints and no new variables, so should help with finding.
Me. 42 Mendeleevication (pseudoscience): Laying things out in a periodic table to make it look scientific.
I don't see why locality is a requirement. What is it that makes a theory with particles being points in a six-dimensional position-momentum space acceptable, but particles being complex-valued functions over a three dimensional space unacceptable?
> it requires that we accept the idea of the wave function (something we never see or interact with directly, for which we have no direct evidence) as fundamental and real AND that we take our day to day experiences, upon which all of our physical sciences are based, as derived, perhaps even, in important ways, not really real.
I see no issue in pure quantum states being fundamental. Our day to day experiences are not compatible with a number of things we hold to be true. Take the physics of fluids for example, it suggests that liquids are infinitely dividable, which we know to be false. In that sense, fluid physics is decidedly not real. But it can also be derived as a very good approximation of the underlying reality on larger scales, similarly to how classical theories are good approximations of the underlying quantum reality on larger scales.
I do realize that my interpretation requires decoherence to work such that the pure quantum states reduce to ones that are well approximated by classical theories, and I'm not sure if we have evidence that decoherence works this way.
Decoherence doesn't give you single outcomes, but it gives you a classical probability distribution (like an enthropic ensemble) over pure quantum states, with the pure quantum states having reduced coherence (i.e. they 'look classical').
Classical probability distributions are nothing new, we don't need a many worlds interpretation to explain the butterfly effect.
Quantum states with a small amount of residual superposition also seem fine to me, as long as you are willing to accept that the world is ultimately quantum and not classical. That we don't see any quantum effects in daily life is just because the scales are too small, similar to how we don't observe relativistic effects because the scales are too large, or how we don't observe the atomicity of water. But in all these cases we can do experiments to reveal the true nature.
What are the scientific arguments against decoherence? What do up-to-date theoreticians think?
In order to say "that's against the rules" but allow some leeway, you need it to be under-specified so you can enforce it selectively.
But the next part suggest you over-set the norm, so people with honest reasons can go beyond the ideal without breaking the rules and everyone has an moral duty to stay well within the specified norms.
http://www.chebfun.org/docs/guide/
In particular chapter 4 is relevant.
Also we don't know how many near-drownings vs drownings there are. Lot of good statistical quiz questions in here.
In the comments Vitalik links to his implementation.
The problem you are describing is a different one, where there is no single commander and a group of generals needs to collectively decide on a plan. There signatures are indeed not sufficient. The way proof-of-work solves it is by randomly electing one of the generals to become commander for this decision round (i.e. 'it mines the block'). The random election is somewhat imperfect, leading to second order complexities such as probabilistic finality.
As soon as you allow digital signatures, you have unforgeable messages and Byzantine Generals is solved. No need for consensus algorithms, proof of work, or blockchains.
[0] https://llvm.org/docs/tutorial/MyFirstLanguageFrontend/index...
[1] https://g.solidity.cc/submissions/wicketh.eth/9a5cb12b504b81...
I expect most of the anecdotal 'evidence' to be explained by this. What would compel me is if randomly changing the magnetic field correlates with the observations, which is what this study seems to have done.
The overflow scenario should be treated the same as the out-of-memory scenario and also return null. The hypothetical result of the addition would always be larger than `heap_end`.
Suppose you allocate heap at the far end of the address space, then all out-of-memory events suddenly become overflows.
> The main limitation of a bump allocator is that it can only reuse deallocated memory after all allocations have been freed.
It can do better, in `dealloc` you can use `ptr` and `layout` to check if the allocation is at the end of the allocated region. If it is, `bump.next` can be reduced by `layout.size()`. This is optimal for lifo/stack style allocation patterns.
Alignment complicates implementation since precise information on the previous value of `bump.next` is lost. There are way to solve this, for example by always padding to some maximum alignment, or writing the padding size in the padding.
But did video formats back then use delta frames?